Quantum transport of Dirac electrons in graphene in the presence of a spatially modulated magnetic field

Abstract

We have investigated the electrical transport properties of Dirac electrons in a monolayer graphene sheet in the presence of a perpendicular magnetic field that is modulated weakly and periodically along one direction.We find that the Landau levels broaden into bands and their width oscillates as a function of the band index and the magnetic field.We determine the ${\sigma }_{yy}$ component of the magnetoconductivity tensor for this system which is shown to exhibit Weiss oscillations.We also determine analytically the asymptotic expressions for ${\sigma }_{yy}$.We compare these results with recently obtained results for electrically modulated graphene as well as those for magnetically modulated conventional two-dimensional electron gas (2DEG) system.We find that in the magnetically modulated graphene system cosidered in this work,Weiss oscillations in ${\sigma }_{yy}$ have a reduced amplitude compared to the 2DEG but are less damped by temperature while they have a higher amplitude than in the electrically modulated graphene system. We also find that these oscillations are out of phase by $\pi$ with those of the electrically modulated system while they are in phase with those in the 2DEG system.

arXiv commentAccepted in PRB: 10 pages, 3 figures

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• Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot
• Signature of tilted Dirac cones in Weiss oscillations of $8-Pmmn$ borophene
• Semimetalic graphene in a modulated electric potential
• Weiss oscillations and particle-hole symmetry at the half-filled Landau level
• Magnetic scattering of Dirac fermions in topological insulators and graphene
• Statistical repulsion/attraction of electrons in graphene in a magnetic field
• Fluctuations and magnetoresistance oscillations near the half-filled Landau level
• Variational Approach for the Effects of Periodic Modulations on the Spectrum of Massless Dirac Fermion
• Dirac electrons in the presence of matrix potential barrier: application to graphene and topological insulators
• Quantum transport through pairs of edge states of opposite chirality at electric and magnetic boundaries
• Suppression of Weiss oscillations in the magnetoconductivity of modulated graphene monolayer
• Thermodynamic properties of a magnetically modulated graphene
• 3D massive Dirac fermions with chemical potential in external magnetic field: Current-current correlation function